2002102100001 has 24 divisors (see below), whose sum is σ = 2895633290784. Its totient is φ = 1333024421760.

The previous prime is 2002102099999. The next prime is 2002102100069. The reversal of 2002102100001 is 1000012012002.

It is not a de Polignac number, because 2002102100001 - 2¹ = 2002102099999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2002102100071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22825110 + ... + 22912656.

It is an arithmetic number, because the mean of its divisors is an integer number (120651387116).

Almost surely, 2^{2002102100001} is an apocalyptic number.

It is an amenable number.

2002102100001 is a deficient number, since it is larger than the sum of its proper divisors (893531190783).

2002102100001 is a wasteful number, since it uses less digits than its factorization.

2002102100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90781 (or 90778 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2002102100001 its reverse (1000012012002), we get a palindrome (3002114112003).

The spelling of 2002102100001 in words is "two trillion, two billion, one hundred two million, one hundred thousand, one".